Data-driven control for multi-rate sampling singularly perturbed systems

This paper investigates the stabilization problem of singularly perturbed hybrid systems with multi-rate sampling. Firstly, we established a hybrid model of singularly perturbed system by designing a multi-rate sampling controller. Secondly, sufficient conditions for global exponential stability of the considered systems are provided using the Lyapunov method. Thirdly, the bounds on the maximum allowable sampling intervals are estimated, and the influence of singular perturbation parameters on the sampling intervals and sampling rates is analyzed. Finally, the effectiveness of the proposed method is verified by the simulation of DC motor model.